Luo, Zhendong,

Proper orthogonal decomposition methods for partial differential equations / Zhendong Luo, Goong Chen. - 1 online resource (xvi, 261 pages) : illustrations (some color) - Mathematics in Science and Engineering . - Mathematics in science and engineering. .

Includes bibliographical references (pages 247-256) and index.

"Proper Orthogonal Decomposition Methods for Partial Differential Equations evaluates the potential applications of POD reduced-order numerical methods in increasing computational efficiency, decreasing calculating load and alleviating the accumulation of truncation error in the computational process. Introduces the foundations of finite-differences, finite-elements and finite-volume-elements. Models of time-dependent PDEs are presented, with detailed numerical procedures, implementation and error analysis. Output numerical data are plotted in graphics and compared using standard traditional methods. These models contain parabolic, hyperbolic and nonlinear systems of PDEs, suitable for the user to learn and adapt methods to their own R & D problems."--Provided by publisher

9780128167991 0128167998

GBB8N4382 bnb

019154668 Uk


Differential equations, Partial.
Orthogonal decompositions.

QA374 QA374 / .L86 2019e

515.353